A researcher believes that college students spend less time participating in ext

Question

A researcher believes that college students spend less time participating in extra-curricular activities than they did ten years ago. An SRS of 25 college students found that in the past year the average number of hours spent per semester in extracurricular activities was x= 107 hours, with the sample standard deviation s = 45 hours. Assume the distribution of the number of hours spent by college students per semester participating in extracurricular activities is approximately normal, with mean u. The researcher wants to determine if these data are evidence that u has lowered from the value of 125 hours of ten years ago. For this purpose, determine what is the null hypothesis, and what is the alternative hypothesis?

Explanation / Answer

Null hypothesis H0 : u = 125

Alternative hypothesis H1 : u < 125

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